If AB = 27 inches, then find the distance of A′ B′ after a reflection over the x-axis and a translation of (x + 6, y − 2)
To find the distance of A' B' after a reflection over the x-axis and a translation of (x + 6, y - 2), we need to perform each step separately and then calculate the distance between the transformed points.
1. Reflection over the x-axis:
The reflection over the x-axis changes the sign of the y-coordinate of each point. Since the distance between A and B is given as 27 inches, the distance between A' and B' after the reflection will also be 27 inches.
2. Translation of (x + 6, y - 2):
The translation moves each point by adding the respective values of x and y coordinates. Since we do not have specific values for x and y, we cannot determine the exact coordinates of A' and B' after the translation. Therefore, we cannot calculate the distance between A' and B'.
In conclusion, after the reflection over the x-axis, the distance between A' and B' will be 27 inches. However, without specific values for x and y, we cannot determine the distance between A' and B' after the translation.